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Finding the Third Proportional to 275,430 and 591,036

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Solution

The third proportional to 275,430 and 591,036 is: 1,268,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,430 : 591,036 = 591,036 : x
  2. Step 2: Convert to fraction form
    275,430/591,036 = 591,036/x
  3. Step 3: Cross multiply
    275,430x = 591,036 × 591,036
  4. Step 4: Simplify right side
    275,430x = 349,323,553,296
  5. Step 5: Solve for x
    x = 349,323,553,296/275,430
  6. Step 6: Final answer
    x = 1,268,284.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.